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Finding the Fourth Proportional to 22,977.66, 34,469.73 and 8,183.42

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Solution

The fourth proportional to 22,977.66, 34,469.73 and 8,183.42 is: 12,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977.66 : 34,469.73 = 8,183.42 : x
  2. Step 2: Convert to fraction form
    22,977.66/34,469.73 = 8,183.42/x
  3. Step 3: Cross multiply
    22,977.66x = 34,469.73 × 8,183.42
  4. Step 4: Simplify right side
    22,977.66x = 282,080,105.53
  5. Step 5: Solve for x
    x = 282,080,105.53/22,977.66
  6. Step 6: Final answer
    x = 12,276.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.